Скачать или смотреть Dividing whole numbers by fractions

*CORE CONCEPT*
Dividing whole numbers by fractions involves multiplying the whole number by the reciprocal of the fraction to find the correct answer.

*TOPICS COVERED*
When to use the reciprocal of a fraction in division (B1)
How to multiply whole numbers by fractions
When to simplify or convert to mixed numbers

*EXAMPLE SENTENCES*
Example 1: 3 ÷ 2/3 = 3 × 3/2 = 9/2 = 4 1/2
Example 2: 4 ÷ 1/4 = 4 × 4/1 = 16
Example 3: 5 ÷ 3/5 = 5 × 5/3 = 25/3 ≈ 8 1/3

*GRAMMAR RULES*
Step 1 → Whole number ÷ Fraction → Whole number × Reciprocal of Fraction
Step 2 → Reciprocal of Fraction → Swap numerator and denominator
Step 3 → Multiply Whole number by Reciprocal → Simplify or convert if needed

*COMMON ERRORS*
Wrong: 3 ÷ 2/3 = 3 ÷ 2 × 3 → Right: 3 ÷ 2/3 = 3 × 3/2 = 4.5 (correct process using reciprocal)
Wrong: 4 ÷ 1/4 = 4 × 1/4 → Right: 4 ÷ 1/4 = 4 × 4/1 = 16 (correct result)
Wrong: 5 ÷ 3/5 = 5 ÷ 3 × 5 → Right: 5 ÷ 3/5 = 5 × 5/3 = 25/3 ≈ 8.33 (accurate and simplified)

*STUDENT QUESTIONS*
How do I divide a whole number by a fraction?
When do I use the reciprocal in division?
Is 4 ÷ 1/4 equal to 16?
What's the difference between dividing by a fraction and a whole number?
Why do I need to simplify my answer?

*KEY CONCEPTS*
Dividing whole numbers, fractions, reciprocal, multiplication, B1 level, math division rules.